MATLAB Programs for Computer-Aided Solution of Fractional Calculus Problems

The uploaded programs comprise MATLAB implementations designed for computational solutions of fractional calculus problems. These programs enable users to compute fractional derivatives and integrals with enhanced accuracy and efficiency through numerical algorithms such as Grünwald-Letnikov, Riemann-Liouville, or Caputo definitions. Key functions include fractional order parameter configuration, memory-effect handling for historical data management, and adaptive step-size control for precision optimization. Fractional calculus serves as a powerful mathematical tool applicable across multiple domains including engineering (e.g., viscoelastic material modeling), physics (anomalous diffusion studies), and economics (long-memory process analysis). By utilizing these programs, users can effectively analyze, simulate, and solve fractional calculus problems, facilitating practical applications in real-world scenarios through customizable code structures and visualization outputs.